3933653640768 has 448 divisors, whose sum is σ = 12682820659200. Its totient is φ = 1192034672640.

The previous prime is 3933653640743. The next prime is 3933653640781. The reversal of 3933653640768 is 8670463563393.

It is a happy number.

3933653640768 is a `hidden beast` number, since 3 + 9 + 3 + 36 + 536 + 4 + 0 + 7 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57444246 + ... + 57512682.

Almost surely, 2^{3933653640768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3933653640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341410329600).

3933653640768 is an abundant number, since it is smaller than the sum of its proper divisors (8749167018432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3933653640768 is a wasteful number, since it uses less digits than its factorization.

3933653640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68555 (or 68539 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 63.

The spelling of 3933653640768 in words is "three trillion, nine hundred thirty-three billion, six hundred fifty-three million, six hundred forty thousand, seven hundred sixty-eight".